Don’t guess i have to get this the ordered pairs (1, 81), (2, 100), (3, 121), (4, 144), and (5, 169) represent a function. what is a rule that represents a function?

f(x) = (x + 8)^2.

Step-by-step explanation:

Note if we add 8 to the x values then square the result we get y.

1 + 8 = 9 and 9^2 = 81.

4 + 8 = 12 and 12^2 = 144.

5 + 8 = 13 and 13^2 = 169.

A similar results occurs with the other values of x.

Thus, the rule is y = (x + 8)^2.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1